Johan Claeys
Math Abundance: A Representation of a Complex Number
Includes a short summary on the representation of a complex number.
CK-12 Foundation
Ck 12: Polar Form of a Complex Number
[Free Registration/Login may be required to access all resource tools.] Here you will learn how to convert complex numbers from rectangular form to polar form. You will also explore the graphs of complex numbers on a polar graph.
Khan Academy
Khan Academy: Complex Number Conjugates
Given a complex number, find its conjugate or plot it in the complex plane. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Illustrative Mathematics
Illustrative Mathematics: N cn.a.2: Powers of a Complex Number
The goal of this task is to practice making calculations with complex numbers and to visualize what happens when two complex numbers are multiplied. Aligns with N-CN.A.2.
Purple Math
Purplemath: Complex Numbers: Introduction
This website provides an in-depth lesson on complex numbers. You learn about simplifying, adding, and multiplying complex numbers by viewing example problems that are worked through step-by-step. Continue on to pages 2 and 3 which...
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Complex Numbers
Use this tutorial to learn what imaginary and complex numbers are, how to write them, and how to perform operations with them. Offers step-by-step examples, video explanations of the examples, and practice questions with answers.
Oswego City School District
Regents Exam Prep Center: Complex Numbers
A wealth of material to help you plan classroom instruction on complex numbers: several lessons that cover the number i, square roots of negative numbers, and operations involving complex numbers; practice activities, some of which...
Paul Dawkins
Paul's Online Notes: Complex Numbers Primer
This tutorial reviews complex numbers, notation associated with complex numbers, and the basic operations involving complex numbers. Topics examined are conjugates and moduli, polar form, exponential form, arithmetic of complex numbers,...
Oswego City School District
Regents Exam Prep Center: Multiply and Divide Complex Numbers
This tutorial shows students how to multiply and divide complex numbers and includes the topic of conjugates. Includes link to a graphing calculator tutorial.
CK-12 Foundation
Ck 12: Complex Numbers
[Free Registration/Login may be required to access all resource tools.] This lesson covers the powers of i, and adding and subtracting complex numbers, as well as how to plot them in the complex plane. Students examine guided notes,...
Khan Academy
Khan Academy: Divide Complex Numbers
Given a complex number division problem, express the result as a complex number of the form a+bi. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Interactive Mathematics
Interactive Mathematics: Products and Quotients of Complex Numbers
Complex numbers are multiplied and divided using polar and exponential forms. Several examples are provided to demonstrate the process. Includes practice questions.
Clark University
Clark University: Complex Numbers: The Complex Plane
A number of different ways to approach complex numbers and operations with them.
Khan Academy
Khan Academy: Multiply & Divide Complex Numbers in Polar Form
Given two complex numbers in polar form, find their product or quotient. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
CK-12 Foundation
Ck 12: Algebra Ii: 1.6 the Complex Plane
This section includes operations with imaginary and complex numbers and plotting numbers on the complex plane.
CK-12 Foundation
Ck 12: Analysis: Quadratic Formula and Complex Sums
[Free Registration/Login may be required to access all resource tools.] In this lesson students identify complex roots of quadratic functions with the quadratic formula, and adding and subtracting complex numbers. Students examine guided...
Interactive Mathematics
Interactive Mathematics: Complex Numbers
The world of complex numbers is explored through mini lessons, interactive examples, applications and demonstrations. Topics covered include definitions, basic operations, graphing, different forms of complex numbers, products,...
Johan Claeys
Math Abundance: An Introduction to Complex Numbers
A complete explanation of complex numbers that includes lessons on adding, subtracting, multiplying, and dividing them, as well as more advanced topics.
Goodwill
Gcf Global: Excel Formulas: Complex Formulas
A simple formula is a mathematical expression with one operator, such as 7+9. A complex formula has more than one mathematical operator, such as 5+2*8. When there is more than one operation in a formula, the order of operations tells...
CK-12 Foundation
Ck 12: Products and Quotients of Complex Numbers
[Free Registration/Login may be required to access all resource tools.] A collection of resources for learning about and practicing how to multiply and divide complex numbers.
Khan Academy
Khan Academy: Multiply Complex Numbers
Given two complex numbers, find their product. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Cool Math
Coolmath: Factoring Complex Numbers Exercises
This Algebra Cruncher generates an endless number of practice problems for factoring the sum of two squares. Each problem has hints and solutions.
Cuemath
Cuemath: Imaginary Numbers
In this lesson plan, you will learn about complex numbers and imaginary numbers. Included are solved examples and interactive questions for review.